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Finding the Fourth Proportional to 1,246.11, 1,719.59 and 686.57

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Solution

The fourth proportional to 1,246.11, 1,719.59 and 686.57 is: 947.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.11 : 1,719.59 = 686.57 : x
  2. Step 2: Convert to fraction form
    1,246.11/1,719.59 = 686.57/x
  3. Step 3: Cross multiply
    1,246.11x = 1,719.59 × 686.57
  4. Step 4: Simplify right side
    1,246.11x = 1,180,618.91
  5. Step 5: Solve for x
    x = 1,180,618.91/1,246.11
  6. Step 6: Final answer
    x = 947.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.